From her window 5m above the ground, Sherri spots a turtle on the ground at a 34 degree angle of depression. To the nearest tenth of a meter, how far is the turtle from the base of the Sherri's building? A: 7.4m B: 4.8m C: 4.1m D: 3.4m
Let y be the distance from the turtle to the base of the building.
tan (34) = 5/y y = 5 ÷ cos(34) y = 7.4m
----------------------------------------------------------------- Answer: The distance is 7.4 meters (Answer A) -----------------------------------------------------------------